A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long.[1][2] The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.[3]
^Ball, Keith (2010), "High-dimensional geometry and its probabilistic analogues", in Gowers, Timothy (ed.), The Princeton Companion to Mathematics, Princeton University Press, pp. 670–680, ISBN 9781400830398. See in particular p. 671.
^Gardner, Martin (2001), "Chapter 13: Hypercubes", The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics, W. W. Norton & Company, pp. 162–174, ISBN 9780393020236.
^Geometry: Reteaching Masters, Holt Rinehart & Winston, 2001, p. 74, ISBN 9780030543289.
A unitcube, more formally a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unitcube is 1 cubic unit, and its total...
unitcube requires the construction of a line segment of length x, where x3 = 2; in other words, x = 2 3 {\displaystyle {\sqrt[{3}]{2}}} , the cube root...
of unitcubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes. The pieces of the Soma cube consist...
one unit length in the direction perpendicular to the plane it lies on, it will generate a 3-dimensional cube. 4 – If one moves the cube one unit length...
performed Unit angle, a full turn equal to an angle of 1 Unit circle, a circle with a radius of length 1 Unitcube, a cube with sides of length 1 Unit fraction...
cube root of a number x is a number y such that y3 = x. All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube...
topologically indistinguishable from the unitcube of countably infinite dimension. Some authors use the term "Hilbert cube" to mean this Cartesian product instead...
plane is a rational distance from all four vertices of the unit square. Unit circle UnitcubeUnit sphere Horn, Alastair N. (1991), "IFSs and the Interactive...
cube. Divide every face of the cube into nine squares, like a Rubik's Cube. This sub-divides the cube into 27 smaller cubes. Remove the smaller cube in...
3n(n-1)+1. These overlapping circles can also be seen as a projection of an n-unitcube of spheres in 3-dimensional space, viewed on the diagonal axis. There...
the other. Three more tetracubes are possible, all created by placing a unitcube on the bent tricube: The tetracubes can be packed into two-layer 3D boxes...
hexagon with sides of length 1. It is the length of the space diagonal of a unitcube. The vesica piscis has a major axis to minor axis ratio equal to 1 : 3...
American English) is the unit of volume in the International System of Units (SI). Its symbol is m3. It is the volume of a cube with edges one metre in...
customary (non-metric) unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot...
geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter...
the sugar cubes: directly dissolving the cubes in the drink or placing the cube into the mouth while drinking. The typical size for each cube is between...
processing unit. The console was formally announced under the codename "Dolphin" the following year, and was released in 2001 as the GameCube. It is Nintendo's...
general topology, the Tychonoff cube is the generalization of the unitcube from the product of a finite number of unit intervals to the product of an...
O'Shea Jackson Sr. (born June 15, 1969), known professionally as Ice Cube, is an American rapper, songwriter, actor, and film producer. His lyrics on N...
customary (non-SI non-metric) unit of volume, used in Canada and the United States. It is defined as the volume of a cube with sides of 1 yard (3 feet...
tetrahedron is a cube, with side length 1/√2 that of the tetrahedron; for instance, a regular tetrahedron with side length √2 fits into a unitcube, with the...
as the gallon, quart, cubic inch). The definition of length and height (cubed) is interrelated with volume. The volume of a container is generally understood...
inhibitory polypeptide Natural killer cell Koniocellular cell Knudsen cell The unitcube of dimension k Kcell, a Kazakhstani mobile phone operator This disambiguation...
translated so that its center is at the origin, then it is scaled to the unitcube which is defined by having a minimum corner at (−1,−1,−1) and a maximum...